Class information for:
Level 1: MULTIWAVELETS//REFINEMENT EQUATION//REFINABLE FUNCTIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
4187 1831 19.1 51%


Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
568 3       COMPUTER AIDED GEOMETRIC DESIGN//ISOGEOMETRIC ANALYSIS//COMPUTER-AIDED DESIGN 16883
1602 2             APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS//FRAMES//GABOR FRAMES 7120
4187 1                   MULTIWAVELETS//REFINEMENT EQUATION//REFINABLE FUNCTIONS 1831

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 MULTIWAVELETS authKW 1124496 6% 60% 112
2 REFINEMENT EQUATION authKW 1014536 4% 89% 68
3 REFINABLE FUNCTIONS authKW 978843 4% 76% 77
4 SHIFT INVARIANT SPACES authKW 641916 4% 50% 77
5 CASCADE ALGORITHM authKW 576749 2% 82% 42
6 APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS journal 536375 9% 19% 168
7 MULTIRESOLUTION ANALYSIS authKW 498513 8% 22% 139
8 SCALING FUNCTION authKW 459899 4% 34% 80
9 APPROXIMATION ORDER authKW 344537 3% 33% 62
10 VANISHING MOMENTS authKW 338156 2% 60% 34

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Mathematics, Applied 34195 54% 0% 988
2 Mathematics 18211 43% 0% 793
3 Physics, Mathematical 2417 11% 0% 196
4 Computer Science, Software Engineering 1061 6% 0% 110
5 Mathematics, Interdisciplinary Applications 920 6% 0% 101
6 Engineering, Electrical & Electronic 183 9% 0% 156
7 Computer Science, Artificial Intelligence 36 2% 0% 33
8 Computer Science, Theory & Methods 29 2% 0% 33
9 Computer Science, Information Systems 24 2% 0% 29
10 Imaging Science & Photographic Technology 24 1% 0% 13

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 LEHRSTUHL NUMER MATH 96184 1% 38% 15
2 HIGHER MATH MATH MODELLING 33350 0% 100% 2
3 NADEC 33350 0% 100% 2
4 MATH STAT SCI 24329 3% 2% 61
5 DMS SPMS 22232 0% 67% 2
6 DIP ME MO MAT 18756 0% 38% 3
7 MATH 18484 38% 0% 690
8 ACOUNTING FINANCE ECON STAT 16675 0% 100% 1
9 AG NUMER WAVELET ANAL 16675 0% 100% 1
10 BIOMED IMAGING GRP DMT IOA 16675 0% 100% 1

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS 536375 9% 19% 168
2 INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING 169484 4% 12% 82
3 JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS 113041 4% 9% 76
4 CONSTRUCTIVE APPROXIMATION 68594 3% 6% 64
5 JOURNAL OF APPROXIMATION THEORY 62260 6% 3% 113
6 ADVANCES IN COMPUTATIONAL MATHEMATICS 38006 2% 7% 31
7 LECTURE NOTES IN PURE AND APPLIED MATHEMATICS 23435 1% 5% 26
8 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 20237 4% 2% 67
9 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 6421 4% 0% 81
10 ACTA MATHEMATICA SINICA-ENGLISH SERIES 4581 1% 1% 27

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 MULTIWAVELETS 1124496 6% 60% 112 Search MULTIWAVELETS Search MULTIWAVELETS
2 REFINEMENT EQUATION 1014536 4% 89% 68 Search REFINEMENT+EQUATION Search REFINEMENT+EQUATION
3 REFINABLE FUNCTIONS 978843 4% 76% 77 Search REFINABLE+FUNCTIONS Search REFINABLE+FUNCTIONS
4 SHIFT INVARIANT SPACES 641916 4% 50% 77 Search SHIFT+INVARIANT+SPACES Search SHIFT+INVARIANT+SPACES
5 CASCADE ALGORITHM 576749 2% 82% 42 Search CASCADE+ALGORITHM Search CASCADE+ALGORITHM
6 MULTIRESOLUTION ANALYSIS 498513 8% 22% 139 Search MULTIRESOLUTION+ANALYSIS Search MULTIRESOLUTION+ANALYSIS
7 SCALING FUNCTION 459899 4% 34% 80 Search SCALING+FUNCTION Search SCALING+FUNCTION
8 APPROXIMATION ORDER 344537 3% 33% 62 Search APPROXIMATION+ORDER Search APPROXIMATION+ORDER
9 VANISHING MOMENTS 338156 2% 60% 34 Search VANISHING+MOMENTS Search VANISHING+MOMENTS
10 REFINABLE FUNCTION VECTORS 336278 1% 92% 22 Search REFINABLE+FUNCTION+VECTORS Search REFINABLE+FUNCTION+VECTORS

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 ATREAS, ND , PAPADAKIS, M , STAVROPOULOS, T , (2016) EXTENSION PRINCIPLES FOR DUAL MULTIWAVELET FRAMES OF CONSTRUCTED FROM MULTIREFINABLE GENERATORS.JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS. VOL. 22. ISSUE 4. P. 854 -877 40 91% 0
2 SAN ANTOLIN, A , ZALIK, RA , (2016) SOME SMOOTH COMPACTLY SUPPORTED TIGHT WAVELET FRAMES WITH VANISHING MOMENTS.JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS. VOL. 22. ISSUE 4. P. 887 -909 35 95% 1
3 JIA, HF , LI, YZ , (2014) REFINABLE FUNCTION-BASED CONSTRUCTION OF WEAK (QUASI-)AFFINE BI-FRAMES.JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS. VOL. 20. ISSUE 6. P. 1145 -1170 27 100% 0
4 HAN, B , (2003) VECTOR CASCADE ALGORITHMS AND REFINABLE FUNCTION VECTORS IN SOBOLEV SPACES.JOURNAL OF APPROXIMATION THEORY. VOL. 124. ISSUE 1. P. 44-88 31 100% 72
5 JIANG, QT , (2011) WAVELET BI-FRAMES WITH UNIFORM SYMMETRY FOR CURVE MULTIRESOLUTION PROCESSING.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 235. ISSUE 6. P. 1653 -1675 35 78% 5
6 KRIVOSHEIN, A , SKOPINA, M , (2011) APPROXIMATION BY FRAME-LIKE WAVELET SYSTEMS.APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS. VOL. 31. ISSUE 3. P. 410-428 29 94% 3
7 DAUBECHIES, I , HAN, B , RON, A , SHEN, ZW , (2003) FRAMELETS: MRA-BASED CONSTRUCTIONS OF WAVELET FRAMES.APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS. VOL. 14. ISSUE 1. P. 1-46 25 93% 320
8 EHLER, M , (2007) ON MULTIVARIATE COMPACTLY SUPPORTED BI-FRAMES.JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS. VOL. 13. ISSUE 5. P. 511-532 27 100% 34
9 HAN, B , (2013) PROPERTIES OF DISCRETE FRAMELET TRANSFORMS.MATHEMATICAL MODELLING OF NATURAL PHENOMENA. VOL. 8. ISSUE 1. P. 18 -47 27 87% 9
10 HAN, B , SHEN, ZW , (2009) DUAL WAVELET FRAMES AND RIESZ BASES IN SOBOLEV SPACES.CONSTRUCTIVE APPROXIMATION. VOL. 29. ISSUE 3. P. 369 -406 33 79% 19

Classes with closest relation at Level 1


Rank Class id link
1 14999 SUBDIVISION SURFACES//SUBDIVISION SCHEMES//SUBDIVISION
2 4664 GABOR FRAMES//MODULATION SPACES//FRAMES
3 7734 WAVELET GALERKIN METHOD//WAVELETS//TRIGONOMETRIC WAVELETS
4 21484 SELF AFFINE MEASURE//SPECTRAL PAIRS//ORTHOGONAL EXPONENTIALS
5 12574 GENERALIZED SAMPLING//AVERAGE SAMPLING//SAMPLING THEOREM
6 5673 PERFECT RECONSTRUCTION//FILTER BANKS//LINEAR PHASE
7 15840 BIVARIATE SPLINES//TRIVARIATE SPLINES//DISCRETE QUASI INTERPOLANTS
8 22477 JOINT SPECTRAL RADIUS//GENERALIZED SPECTRAL RADIUS//EXTREMAL NORM
9 17462 SHEARLETS//CURVELETS//DIRECTIONAL WAVELETS
10 2588 JPEG2000//LOSSLESS COMPRESSION//IMAGE COMPRESSION

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